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Search: id:A129955
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| 2, 3, 8, 18, 40, 88, 192, 416, 896, 1920, 4096, 8704, 18432, 38912, 81920, 172032, 360448, 753664, 1572864, 3276800, 6815744, 14155776, 29360128, 60817408, 125829120, 260046848, 536870912, 1107296256, 2281701376, 4697620480
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OFFSET
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0,1
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COMMENT
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First differences of A129954: a(n) = A129954(n+1) - A129954(n).
a(n) = A034007(n+2)-2^(n-2) for n > 1.
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FORMULA
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a(0) = 2, a(1) = 3; for n > 1, a(n) = (n+6)*2^(n-2).
G.f.: (2-5*x+4*x^2-2*x^3)/(1-2*x)^2.
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PROGRAM
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(MAGMA) m:=17; S:=&cat[ [ 1, 2*i ]: i in [0..m] ]; T:=[ &+[ Binomial(j-1, k-1)*S[k]: k in [1..j] ]: j in [1..2*m] ]; U:=[ T[n+1]-T[n]: n in[1..2*m-1] ]; V:=[ U[n+1]-U[n]: n in[1..2*m-2] ]; [ V[n+1]-V[n]: n in[1..2*m-3] ]; /* Klaus Brockhaus, Jun 17 2007 */
(PARI) {m=29; print1(2, ", ", 3, ", "); for(n=2, m, print1((n+6)*2^(n-2), ", "))} /* Klaus Brockhaus, Jun 17 2007 */
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CROSSREFS
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Cf. A129952, A129953, A129954, A034007.
Sequence in context: A096254 A091765 A036746 this_sequence A034066 A034076 A079224
Adjacent sequences: A129952 A129953 A129954 this_sequence A129956 A129957 A129958
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Jun 10 2007
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EXTENSIONS
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Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 17 2007
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